Design a pumping system for a municipal water supply application where water needs to be lifted from a lower vented underground reservoir $(5$m above the pump$)$ to a pressurized water tower situated $30$ meters above the pump. The flow rate required is $1500$liter$/$minute$.$ Assume the physical properties of the wastewater are same as that of water at $15\backslash$deg C$.$ The pressure at the top of the water tower is $20$kpag.The horizontal distance between the pump and the water tower is $180$ meters. The vertical pipe from the pump to entrance of the water tower tank is $20$m$.$ A sketch is shown below.The system includes pipes with varying diameters and fittings. The pipe from the reservoir to the pump station is X inches in diameter schedule $40$ and $20$m length, followed by a sudden expansion to $($X $+1)$ inches in diameter new schedule $40$ at the pump suction. At the exit of the pump, the pipe diameter is X inches for the horizontal and vertical section leading to the water tower. Additionally, there two $90-$degree standard elbows and one fully open globe valve located at $10$ m from the exit of pump.You can use the equation below to estimate the pipe diameter, X$,$ with a maximum allowable head load, hl as $22$ft$/100$ft pipe length.I. Based on the requirements of the system, choose the right pump type. The suction pipe diameter is same as pipe size find from the equation below$\mathrm{.}2$Compute the overall head losses considering friction losses in the fittings, pipes, and elevation variations$3.$ To avoid cavitation, find the Net Positive Suction Head Required $($NPSHR$)$ for the selected pump and make sure it falls within the permitted NPSHA. Give thorough NPSHR and head loss computations$\mathrm{.}4.$ Compute a resistance curve for the system across the entire pump capacity. Display all of the points you used for the plotting in a table$\mathrm{.}5\mathrm{.}6.$Draw the resistance curveWhat are the pump characteristics $($efficiency$,$ horsepower, NPSHr$)$ if pump impeller casting is$7$ inches$\mathrm{.}7.$ What adjustments could you recommend lowering the amSketch of the proposed system

Equation to estimate pipe diameter

$D=0\mathrm{.}66[{}^{1\mathrm{.}25}(\frac{L{Q}^2}{g{h}_L}{)}^{4\mathrm{.}75}+y{Q}^{9\mathrm{.}4}(\frac{L}{g^h{h}_L}{)}^{5\mathrm{.}2}{]}^{0\mathrm{.}04}$

All units in this equation are British Units

Kindly ensure you have a well$-$organized response sheet ready.ount of power needed, and why?